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Finding the Fourth Proportional to 22,866.86, 31,558.17 and 12,796.23

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Solution

The fourth proportional to 22,866.86, 31,558.17 and 12,796.23 is: 17,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.86 : 31,558.17 = 12,796.23 : x
  2. Step 2: Convert to fraction form
    22,866.86/31,558.17 = 12,796.23/x
  3. Step 3: Cross multiply
    22,866.86x = 31,558.17 × 12,796.23
  4. Step 4: Simplify right side
    22,866.86x = 403,825,601.70
  5. Step 5: Solve for x
    x = 403,825,601.70/22,866.86
  6. Step 6: Final answer
    x = 17,659.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.